How do you find the slope of the line through f (-4) =1 and f (-1) =-3?

Answer 1

Use the formula for slope to find slope = #-1/2#

The slope #m# of a line that passes through the points #(x_1, y_1)# and #(x_2, y_2)# can be found using the following formula:

y_2 - y_1) / (x_2 - x_1) = #m = (Delta y) / (Delta x)#

Let #(x_1, y_1) = (1, -4)# and #(x_2, y_2) = (-1, -3)# be the values in our example.

#m = 1/(-2) = -1/2# = (-3 - (-4))/(-1 - 1)

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Answer 2

Eli Assouline

To find the slope of the line passing through the points ((-4, 1)) and ((-1, -3)), we use the formula for slope, which is (\frac{{y_2 - y_1}}{{x_2 - x_1}}). Plugging in the coordinates of the points, we get (\frac{{-3 - 1}}{{-1 - (-4)}}). Simplifying, we have (\frac{{-3 - 1}}{{-1 + 4}}), which further simplifies to (\frac{{-4}}{{3}}). Therefore, the slope of the line passing through these points is (-\frac{{4}}{{3}}).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.